Name
Abstract | ||
|---|---|---|
High fidelity finite element modeling of continuum mechanics problems often requires using all quadrilateral or all hexahedral meshes. The efficiency of such models is often dependent upon the ability to adapt a mesh to the physics of the phenomena. Adapting a mesh requires the ability to both refine and/or coarsen the mesh. The algorithms available to refine and coarsen triangular and tetrahedral meshes are very robust and efficient. However, the ability to locally and conformally refine or coarsen all quadrilateral and all hexahedral meshes presents many difficulties. Some research has been done on localized conformal refinement of quadrilateral and hexahedral meshes. However, little work has been done on localized conformal coarsening of quadrilateral and hexahedral meshes. A general method which provides both localized conformal coarsening and refinement for quadrilateral meshes is presented in this paper. This method is based on restructuring the mesh with simplex manipulations to the dual of the mesh. In addition, this method appears to be extensible to hexahedral meshes in three dimensions. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/s00366-008-0097-y | Eng. Comput. (Lond.) |
Keywords | Field | DocType |
tetrahedral mesh,adaptivityquadrilateralcoarsening � refinementfinite elements,high fidelity finite element,localized conformal,quadrilateral mesh,hexahedral mesh,quadrilateral finite element mesh,coarsen triangular,continuum mechanics problem,localized conformal coarsening,general method,localized conformal refinement,finite elements,finite element model,continuum mechanics,mesh generation,quadrilateral,refinement,three dimensions | Hexahedron,Mathematical optimization,Polygon mesh,Continuum mechanics,Volume mesh,Finite element method,Simplex,Conformal map,Computational science,Quadrilateral,Geometry,Mathematics | Journal |
Volume | Issue | ISSN |
24 | 3 | 1435-5663 |
Citations | PageRank | References |
8 | 0.69 | 11 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Matthew L. Staten | 1 | 219 | 37.46 |
| Steven Benzley | 2 | 8 | 0.69 |
| Michael Scott | 3 | 8 | 0.69 |